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Finding the Fourth Proportional to 227,568, 314,043.84 and 126,966

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Solution

The fourth proportional to 227,568, 314,043.84 and 126,966 is: 175,213.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,568 : 314,043.84 = 126,966 : x
  2. Step 2: Convert to fraction form
    227,568/314,043.84 = 126,966/x
  3. Step 3: Cross multiply
    227,568x = 314,043.84 × 126,966
  4. Step 4: Simplify right side
    227,568x = 39,872,890,189.44
  5. Step 5: Solve for x
    x = 39,872,890,189.44/227,568
  6. Step 6: Final answer
    x = 175,213.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.